8366800 has 60 divisors (see below), whose sum is σ = 21660940. Its totient is φ = 3087360.

The previous prime is 8366791. The next prime is 8366843. The reversal of 8366800 is 86638.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 8363664 = 56^2 + 2892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4396 + ... + 6004.

Almost surely, 2^8366800 is an apocalyptic number.

8366800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830470).

8366800 is an abundant number, since it is smaller than the sum of its proper divisors (13294140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8366800 is a wasteful number, since it uses less digits than its factorization.

8366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8366800 is about 2892.5421345246. The cubic root of 8366800 is about 203.0111053806.

The spelling of 8366800 in words is "eight million, three hundred sixty-six thousand, eight hundred".